The zeros of the eta function include all the zeros of the zeta function: the trivial ones which occur at the negative even integers and the non-trivial ones that lie in the critical strip, \(0<Re(s)<1\) . All the non-trivial zeros are known to be symmetric about the \(x-\) axis and the critical line \(Re(s)=1/2\)  ([1]}, [2]}).
